Solve 2025div27

$$2025 \div 27$$

Evaluate

$$75$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2025

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)2025}\\\end{array}$$

Since 2 is less than 27, use the next digit 0 from dividend 2025 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)2025}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2025

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)2025}\\\end{array}$$

Since 20 is less than 27, use the next digit 2 from dividend 2025 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)2025}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2025

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)2025}\\\end{array}$$

Find closest multiple of 27 to 202. We see that 7 \times 27 = 189 is the nearest. Now subtract 189 from 202 to get reminder 13. Add 7 to quotient.

$$\begin{array}{l}\phantom{27)}007\phantom{6}\\27\overline{)2025}\\\phantom{27)}\underline{\phantom{}189\phantom{9}}\\\phantom{27)9}13\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2025

$$\begin{array}{l}\phantom{27)}007\phantom{7}\\27\overline{)2025}\\\phantom{27)}\underline{\phantom{}189\phantom{9}}\\\phantom{27)9}135\\\end{array}$$

Find closest multiple of 27 to 135. We see that 5 \times 27 = 135 is the nearest. Now subtract 135 from 135 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{27)}0075\phantom{8}\\27\overline{)2025}\\\phantom{27)}\underline{\phantom{}189\phantom{9}}\\\phantom{27)9}135\\\phantom{27)}\underline{\phantom{9}135\phantom{}}\\\phantom{27)9999}0\\\end{array}$$

Since 0 is less than 27, stop the division. The reminder is 0. The topmost line 0075 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 75.

$$\text{Quotient: }75 \text{Reminder: }0$$

Factor

$$3\times 5^{2}$$